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Finding the Fourth Proportional to 4,978.17, 7,464.92 and 3,418.41

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Solution

The fourth proportional to 4,978.17, 7,464.92 and 3,418.41 is: 5,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.17 : 7,464.92 = 3,418.41 : x
  2. Step 2: Convert to fraction form
    4,978.17/7,464.92 = 3,418.41/x
  3. Step 3: Cross multiply
    4,978.17x = 7,464.92 × 3,418.41
  4. Step 4: Simplify right side
    4,978.17x = 25,518,140.09
  5. Step 5: Solve for x
    x = 25,518,140.09/4,978.17
  6. Step 6: Final answer
    x = 5,126.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.